Rigid Transformations Quiz – Geometry (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: G-CO.A.2, G-CO.A.3, G-CO.A.4, G-CO.A.5 · Level: Grade 10 Geometry

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What this Translations, Reflections and Rotations Explained quiz checks

• Each transformation assigns one image point to every point of the plane.
• Translations, reflections and rotations preserve distance and angle measure.
• A reflection over y = x swaps coordinates; a 90° counterclockwise rotation sends (x, y) to (−y, x).
• A regular n-gon has n lines of symmetry and rotational symmetry of 360° ÷ n.
• The order of a sequence of transformations can change the final image.

The 10 questions of the quiz

1. Triangle ABC has A(1, 1). Its image under a translation has A′(4, −2). Which rule describes the translation?
2. What is the image of (−5, 8) after a reflection over the x-axis?
3. Which rule describes a 90° counterclockwise rotation about the origin?
4. Which transformation is NOT rigid?
5. The point (3, −7) is reflected over the line y = x shown. What is its image?
6. What is the smallest positive rotation that maps a regular 9-gon onto itself?
7. A rhombus with unequal angles can be flipped onto itself over how many mirror lines?
8. What is the image of (−4, −9) after a 180° rotation about the origin?
9. Which property does every rigid transformation preserve?
10. What is the image of (7, 2) after a reflection over the vertical line x = 3?

After the quiz

Missed a question? Reread the Translations, Reflections and Rotations Explained lesson, then take the quiz again. Next, solve the Geometry worksheet on Translations, Reflections and Rotations Explained, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Mis à jour le 22 October 2026